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3. (a) State the nth term of each of the following sequences: (i) 3, 7, 11, 15, 19, ....

4n - 1 Find the difference between the numbers and this decides the number infront of n In the sequence, choose 1 to start - 4n - if n = 4 then this gives you 4 but we need 3 so 4n-1 If we test this and put ...
CM
Answered by Claudia M. • Maths tutor
8707 Views

Expand and simplify (x+3)(x+5)

The easiest method for expanding these brackets is to use the FOIL method of expansion. This ensures you multiply every aspect of the brackets together. First - take the first terms of the brackets (so, x an...
AD
Answered by Adam D. • Maths tutor
61059 Views

How to solve simultaneous equations?

Let's say we have two equtions: 3x + y = 8 5x + 2y = 14 In order to solve them, we need to bring one of the coefficients to the same number. Let's say we do that with y. So: 6x + 2y = 16 5x + 2y = 14 Now, we...
KW
Answered by Kamila W. • Maths tutor
4011 Views

A metal sphere of radius 15cm is melted down and recast into a solid cylinder of radius 6cm. Calculate the height of the cylinder.

Using the eqauation for volume of sphere (V=4/3 pi r^3) calculate the volume of the original sphere. This comes to 14137.2 cm^3 (1dp). The new cylinder formed has the same volume. Therefore, you can use the ...
SK
Answered by Sameerah K. • Maths tutor
14310 Views

Solve 2x+3 + ((4x-1)/2) = 10

Divide everything in the brackets by 2. 2x+3 + (2x -1/2) =10 Collect like terms (collect 'x' terms and collect numbers). 2x + 2x + 3 -1/2 = 10 Simplify like terms. 4x + 2 1/2 = 10 Rearrange so 'x's are on on...
LR
Answered by Lauren R. • Maths tutor
7328 Views